document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973399>Question 973399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone help me please? thanks! and show work as well please :)\r<BR>\n" );
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document.write( "Find the point(s) of intersection of the line X + Y = 5 and the circle x2 + y2 = 25 by solving the system of equations.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595578 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 5 ----> x = -y + 5  {subtracted y from each side of top equation}<BR>\n" );
document.write( "x² + y² = 25\r<BR>\n" );
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document.write( "(-y + 5)² + y² = 25 {substituted (-y + 5), in for x, into bottom equation}<BR>\n" );
document.write( "y² - 10y + 25 + y² = 25 {squared the binomial using the foil method}<BR>\n" );
document.write( "2y² - 10y + 25 = 25 {combined like terms}<BR>\n" );
document.write( "2y² - 10y = 0 {subtracted 25 from each side}<BR>\n" );
document.write( "2y(y - 5) = 0 {factored out the greatest common factor, 2y}<BR>\n" );
document.write( "2y = 0  or  y - 5 = 0 {set each factor equal to 0}<BR>\n" );
document.write( "y = 0  or  y = 5 {divided each side of 1st equation by 2 and added 5 to each side of 2nd equation}\r<BR>\n" );
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document.write( "x + y = 5 {first original equation}<BR>\n" );
document.write( "If y = 0<BR>\n" );
document.write( "x + 0 = 5 {substituted 0 for y}<BR>\n" );
document.write( "x = 5 {subtracted 0 from each side}<BR>\n" );
document.write( "(5,0) is a solution}\r<BR>\n" );
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document.write( "If y = 5<BR>\n" );
document.write( "x + 5 = 5 {substituted 5 for y}<BR>\n" );
document.write( "x = 0 {subtracted 5 from each side}<BR>\n" );
document.write( "(0,5) is a solution\r<BR>\n" );
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document.write( "The line will intersect the circle at (0,5) and (5,0)\r<BR>\n" );
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document.write( "x = 5 and y = 0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = 0 and y = 5<BR>\n" );
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